Tobias Hilgart (Salzburg): On a Family of cubic Thue equations involving Fibonacci and Lucas numbers

Austrian-Hungarian Diophantine Number Theory seminar
https://uni-salzburg.webex.com/uni-salzburg/j.php?MTID=m26bb8d63af6bc67a58826690632c3763

Abstract: Let _Fn_ denote the _n_-th Fibonacci number and _Ln_ the _n_-th Lucas number. We completely solve the family of cubic Thue equations (_X_-_FnY_)(_X_-_LnY_)_X_-_Y_3=±1 and show that there are no non-trivial solutions for _n_≠1,3.